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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A generalization of the Vietoris-Begle theorem
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by Jerzy Dydak and George Kozlowski PDF
Proc. Amer. Math. Soc. 102 (1988), 209-212 Request permission

Abstract:

A theorem is proved which generalizes both the Vietoris-Begle theorem and the cell-like theorem for spaces of finite defomation dimension. The proof is geometric and uses a double mapping cylinder trick.
References
  • Jerzy Dydak, An addendum to the Vietoris-Begle theorem, Topology Appl. 23 (1986), no. 1, 75–86. MR 849095, DOI 10.1016/0166-8641(86)90018-0
  • J. J. Dydak and J. Segal, Strong shape theory, Dissertationes Math. 192 (1981), 1-42.
  • Jerzy Dydak and Jack Segal, Shape theory, Lecture Notes in Mathematics, vol. 688, Springer, Berlin, 1978. An introduction. MR 520227
  • Brayton Gray, Homotopy theory, Pure and Applied Mathematics, Vol. 64, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. An introduction to algebraic topology. MR 0402714
  • Sze-tsen Hu, Theory of retracts, Wayne State University Press, Detroit, 1965. MR 0181977
  • G. Kozlowski, Mapping theorems for homotopy,, Dissertation, University of Michigan, 1968 (University Microfilms, Ann Arbor, 1968). —, Maps of ANR’s determined on null sequences of AR’s, Studies in Topology (Proc. Conf., Charlotte, N.C., March 1974). Academic Press, New York 1975, pp. 277-284. —, Images of ANR’s, Trans. Amer. Math. Soc. (to appear). —, Postnikov systems in shape theory, Preliminary report, Notices Amer. Math. Soc. 24 (1977).
  • Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
  • Richard B. Sher, Realizing cell-like maps in Euclidean space, General Topology and Appl. 2 (1972), 75–89. MR 303546
  • John J. Walsh, Dimension, cohomological dimension, and cell-like mappings, Shape theory and geometric topology (Dubrovnik, 1981) Lecture Notes in Math., vol. 870, Springer, Berlin-New York, 1981, pp. 105–118. MR 643526
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 209-212
  • MSC: Primary 55N05,; Secondary 55N20,55P20
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0915746-0
  • MathSciNet review: 915746